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135385260484047 = 37592772011196159
BaseRepresentation
bin11110110010000111010110…
…010110111110010111001111
3122202100201000120200210102120
4132302013112112332113033
5120221123003140442142
61155535044031424023
740342155651434130
oct3662072626762717
9582321016623376
10135385260484047
113a157626069642
12132266a1985013
135a70a103b20c2
14256097832bc87
15109ba346a47ec
hex7b21d65be5cf

135385260484047 has 64 divisors (see below), whose sum is σ = 210661151539200. Its totient is φ = 75739146007680.

The previous prime is 135385260484003. The next prime is 135385260484057. The reversal of 135385260484047 is 740484062583531.

It is not a de Polignac number, because 135385260484047 - 234 = 135368080614863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135385260484057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690083154 + ... + 690279312.

It is an arithmetic number, because the mean of its divisors is an integer number (3291580492800).

Almost surely, 2135385260484047 is an apocalyptic number.

135385260484047 is a deficient number, since it is larger than the sum of its proper divisors (75275891055153).

135385260484047 is a wasteful number, since it uses less digits than its factorization.

135385260484047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198516.

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 135385260484047 in words is "one hundred thirty-five trillion, three hundred eighty-five billion, two hundred sixty million, four hundred eighty-four thousand, forty-seven".

Divisors: 1 3 7 21 59 177 277 413 831 1239 1939 2011 5817 6033 14077 16343 42231 49029 114401 118649 196159 343203 355947 557047 588477 830543 1373113 1671141 2491629 3899329 4119339 11573381 11697987 32865773 34720143 54336043 81013667 98597319 163008129 230060411 243041001 380352301 394475749 690181233 1141056903 1183427247 2761330243 3205826537 8283990729 9617479611 22440785759 23274069191 67322357277 69822207573 109269782473 162918484337 327809347419 488755453011 764888477311 2294665431933 6446917165907 19340751497721 45128420161349 135385260484047